91000000001017 has 2 divisors, whose sum is σ = 91000000001018. Its totient is φ = 91000000001016.

The previous prime is 91000000001011. The next prime is 91000000001041. The reversal of 91000000001017 is 71010000000019.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87870582392761 + 3129417608256 = 9373931^2 + 1769016^2 .

It is a cyclic number.

It is not a de Polignac number, because 91000000001017 - 2²⁷ = 90999865783289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 91000000000985 and 91000000001003.

It is not a weakly prime, because it can be changed into another prime (91000000001011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45500000000508 + 45500000000509.

It is an arithmetic number, because the mean of its divisors is an integer number (45500000000509).

Almost surely, 2^{91000000001017} is an apocalyptic number.

It is an amenable number.

91000000001017 is a deficient number, since it is larger than the sum of its proper divisors (1).

91000000001017 is an equidigital number, since it uses as much as digits as its factorization.

91000000001017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 63, while the sum is 19.

The spelling of 91000000001017 in words is "ninety-one trillion, one thousand, seventeen".